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Subgame perfect manipulation of children by overlapping generations of agents with two-sided altruism and endogenous fertility

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Author Info
Lakshmi K. Raut (University of Hawaii-Manoa)

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Abstract

In this paper we consider an overlapping generations model with endogenous fertility and two-sided altruism and show the limitations of applying commonly used open loop Nash equilibrium in characterizing equilibrium transfers from parents to children in the form of bequest, and transfers from children to parents as voluntary old-age support. Since in our model children are concerned with parents' old-age consumption, agents have incentives to save less for old age and to have more children so as to strategically induce their children to transfer more old-age support. We formulate such strategic behavior within a sequential multi-stage game and use the notion of subgame perfect equilibrium to study the consequences of such strategic manipulations on private intergenerational transfers, fertility and savings decisions, and on Pareto optimality of equilibrium allocation. We then examine the role of social security to correct such strategic distortions.

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Publisher Info
Paper provided by EconWPA in its series Labor and Demography with number 9604003.

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Length: 16 pages
Date of creation: 05 Apr 1996
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Handle: RePEc:wpa:wuwpla:9604003

Note: Type of Document - Tex; prepared on IBM PC-TEX; to print on PostScript; pages: 16 ; figures: included. This is for electronic circulation to reduce our mailing and xerox cost.
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Related research
Keywords: two-sided altruism; endogenous fertility; subgame perfect manipulation of children; social security;

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D64 - Microeconomics - - Welfare Economics - - - Altruism
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," NBER Working Papers 1793, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Bernheim, B Douglas & Shleifer, Andrei & Summers, Lawrence H, 1985. "The Strategic Bequest Motive," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1045-76, December. [Downloadable!] (restricted)
    Other versions:
  3. Gary S. Becker, 1974. "A Theory of Social Interactions," NBER Working Papers 0042, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467. [Downloadable!] (restricted)
  5. Lakshmi K. Raut, 1996. "Two-sided altruism, Lindahl Equilibrium, and Pareto Optimality in Overlapping Generations Models," GE, Growth, Math methods 9604001, EconWPA. [Downloadable!]
  6. P. A. Diamond & J. A. Mirrlees, 1977. "A Model of Social Insurance With Variable Retirement," Working papers 210, Massachusetts Institute of Technology (MIT), Department of Economics.
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  7. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December. [Downloadable!] (restricted)
  8. Diamond, P. A., 1977. "A framework for social security analysis," Journal of Public Economics, Elsevier, vol. 8(3), pages 275-298, December. [Downloadable!] (restricted)
  9. Veall, Michael R., 1986. "Public pensions as optimal social contracts," Journal of Public Economics, Elsevier, vol. 31(2), pages 237-251, November. [Downloadable!] (restricted)
  10. L. K. Raut, . "Effects of Social Security on Fertility and Saving: An Overlapping Generations Model," University of Chicago - Population Research Center 87-13, Chicago - Population Research Center.
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  11. Raut, L. K., 1990. "Capital accumulation, income distribution and endogenous fertility in an overlapping generations general equilibrium model," Journal of Development Economics, Elsevier, vol. 34(1-2), pages 123-150, November. [Downloadable!] (restricted)
  12. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec.. [Downloadable!] (restricted)
  13. Nishimura, K. & Zhang, J., 1990. "Pay-As-You-Go Public Pensions With Endogenous Fertility," Papers 202, Australian National University - Department of Economics.
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  14. Pollak, Robert A, 1988. "Tied Transfers and Paternalistic Preferences," American Economic Review, American Economic Association, vol. 78(2), pages 240-44, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Donald Cox & Oded Stark, 1996. "Intergenerational Transfers and the Demonstration Effect," Boston College Working Papers in Economics 329., Boston College Department of Economics. [Downloadable!]
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